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2321031300 = 2235271139781
BaseRepresentation
bin1000101001011000…
…0010000010000100
312222202102121101020
42022112002002010
514223141000200
61022151431140
7111342304050
oct21226020204
95882377336
102321031300
11a91186195
125493854b0
132acb29b03
14180384c60
15d8b77ea0
hex8a582084

2321031300 has 144 divisors (see below), whose sum is σ = 7743587712. Its totient is φ = 525772800.

The previous prime is 2321031289. The next prime is 2321031311. The reversal of 2321031300 is 31301232.

It is an interprime number because it is at equal distance from previous prime (2321031289) and next prime (2321031311).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2321031300.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 232410 + ... + 242190.

Almost surely, 22321031300 is an apocalyptic number.

2321031300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2321031300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3871793856).

2321031300 is an abundant number, since it is smaller than the sum of its proper divisors (5422556412).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2321031300 is a wasteful number, since it uses less digits than its factorization.

2321031300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9918 (or 9911 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 2321031300 is about 48177.0827261261. The cubic root of 2321031300 is about 1324.0173181319.

Adding to 2321031300 its reverse (31301232), we get a palindrome (2352332532).

The spelling of 2321031300 in words is "two billion, three hundred twenty-one million, thirty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 113 140 150 175 210 226 300 339 350 420 452 525 565 678 700 791 1050 1130 1356 1582 1695 2100 2260 2373 2825 3164 3390 3955 4746 5650 6780 7910 8475 9492 9781 11300 11865 15820 16950 19562 19775 23730 29343 33900 39124 39550 47460 48905 58686 59325 68467 79100 97810 117372 118650 136934 146715 195620 205401 237300 244525 273868 293430 342335 410802 489050 586860 684670 733575 821604 978100 1027005 1105253 1369340 1467150 1711675 2054010 2210506 2934300 3315759 3423350 4108020 4421012 5135025 5526265 6631518 6846700 7736771 10270050 11052530 13263036 15473542 16578795 20540100 22105060 23210313 27631325 30947084 33157590 38683855 46420626 55262650 66315180 77367710 82893975 92841252 110525300 116051565 154735420 165787950 193419275 232103130 331575900 386838550 464206260 580257825 773677100 1160515650 2321031300